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Finding the Fourth Proportional to 298,253.63, 411,590.01 and 164,117.63

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Solution

The fourth proportional to 298,253.63, 411,590.01 and 164,117.63 is: 226,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,253.63 : 411,590.01 = 164,117.63 : x
  2. Step 2: Convert to fraction form
    298,253.63/411,590.01 = 164,117.63/x
  3. Step 3: Cross multiply
    298,253.63x = 411,590.01 × 164,117.63
  4. Step 4: Simplify right side
    298,253.63x = 67,549,176,972.88
  5. Step 5: Solve for x
    x = 67,549,176,972.88/298,253.63
  6. Step 6: Final answer
    x = 226,482.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.